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434012033004 = 2231123314111459
BaseRepresentation
bin1100101000011010010…
…00100000111111101100
31112111021001012122222220
412110031020200333230
524102324040024004
6531214332035340
743233136261044
oct6241510407754
91474231178886
10434012033004
11158077529190
1270145902b50
1331c08c78b64
14170133b4724
15b452872dd9
hex650d220fec

434012033004 has 48 divisors (see below), whose sum is σ = 1109499431040. Its totient is φ = 130954330240.

The previous prime is 434012033003. The next prime is 434012033011. The reversal of 434012033004 is 400330210434.

It is not an unprimeable number, because it can be changed into a prime (434012033003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024974 + ... + 7086485.

It is an arithmetic number, because the mean of its divisors is an integer number (23114571480).

Almost surely, 2434012033004 is an apocalyptic number.

434012033004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434012033004 is an abundant number, since it is smaller than the sum of its proper divisors (675487398036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434012033004 is a wasteful number, since it uses less digits than its factorization.

434012033004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111710 (or 14111708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434012033004 its reverse (400330210434), we get a palindrome (834342243438).

The spelling of 434012033004 in words is "four hundred thirty-four billion, twelve million, thirty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1398 2563 2796 5126 7689 10252 15378 30756 14111459 28222918 42334377 56445836 84668754 155226049 169337508 310452098 465678147 620904196 931356294 1862712588 3287969947 6575939894 9863909841 13151879788 19727819682 36167669417 39455639364 72335338834 108503008251 144670677668 217006016502 434012033004